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Use the sample data below to test the hypotheses

H_{0}: |
p_{1} = p_{2} =
p_{3} |

H_{a}: |
not all population proportions are equal |

where

*p*_{i}

is the population proportion of Yes responses for population
*i*.

Response | Populations | ||
---|---|---|---|

1 | 2 | 3 | |

Yes | 145 | 145 | 106 |

No | 95 | 145 | 114 |

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the *p*-value. (Round your answer to four decimal
places.)

*p*-value =

Using a 0.05 level of significance, state your conclusion.

Do not reject *H*_{0}. We conclude that not all
population proportions are equal.Do not reject
*H*_{0}. We cannot conclude that not all population
proportions are equal. Reject
*H*_{0}. We conclude that not all population
proportions are equal.Reject *H*_{0}. We cannot
conclude that not all population proportions are equal.

Answer #1

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Develop the analysis of variance computations for the following
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Treatment
A
B
C
136
106
93
119
113
83
113
126
84
106
103
101
132
107
90
114
109
116
129
98
111
103
115
119
105
97
78
116
xj
119
106
101
sj2
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155.33
187.56
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9
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Consider the data.
xi
1
2
3
4
5
yi
2
8
6
10
13
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Compute the mean square error using equation
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. (Round your answer to two decimal places.)
(b)
Compute the standard error of the estimate using equation
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B
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10
9
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2
12
7
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3
18
15
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State the null and alternative hypotheses.
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